Re: Incompleteness of Cantor's enumeration of the rational numbers

On 2024-12-16 10:50:22 +0000, WM said:

On 16.12.2024 10:43, Mikko wrote:

On 2024-12-15 11:05:48 +0000, WM said:
 

On 15.12.2024 11:49, Mikko wrote:

On 2024-12-14 15:46:04 +0000, WM said:
 

On 14.12.2024 12:06, joes wrote:

 

They are ALREADY there.

 Therefore they cannot appear after the cursor has passed their positions. Every interval and every end of an interval would be hit by the cursor.

 Yes, but not before another interval hits the cursor.

 You believe that only afterwards the first interval comes into being?
That is not the infinity used in set theory.

 There is no time in mathematics. Nothing happens. In particular, nothing
comes into being.

 Then your sentence "Yes, but not before another interval hits the cursor." is false.

It is not false but it is not a mathematical statement as it refers to
your moving cursor that is not a mathematical object. But your "cursor"
and its movment and therfore my "before" can be converted to mathematical
presentation and then your statements became mathematically meaningful
and my sstatement mathematically true.
--
Mikko